Calculus
posted by Anonymous .
Find the point on the line 3x+5y5=0 which is closest to the point (4,0). Please Help!

the slope of the given line is 3/5.
So, you want a perpendicular line through (4,0). That line will be
y = 5/3 (x+4)
The two lines intersect at (115/34,35/34)
Now just find the distance between those two points
Respond to this Question
Similar Questions

Calculus
Find the point on the line 6x + y = 9 that is closest to the point (3,1). Solution: We need to minimize the function d = 
CalculusApplied Optimization Problem:
Find the point on the line 6x + 3y3 =0 which is closest to the point (3,1). Note: Your answer should be a point in the xyplane, and as such will be of the form (xcoordinate,ycoordinate) 
Calculus
Find the point on the line 4x+7y+3=0 which is closest to the point(5,5) 
Calculus
Find the point on the line 6 x + 4 y  1 =0 which is closest to the point ( 0, 1 ). 
MathCalculus
Find the point on the line 2x + 4y + 3 =0 which is closest to the point (2,1). Note: I have been struggling on this for hours! 
calculus
Find the point on the line 2x+4y+7=0 which is closest to the point (4,−3). 
calculus
Find the point on the line –3x+4y–5=0 which is closest to the point (0–5) 
calculus help amigos
Find the point on the line 5x+5y+7=0 which is closest to the point (3,−4) 
calculus
Find the point on the line 4x+2y+5=0 which is closest to the point (2,1) 
calculus
Ola, I'm not understanding this question, any assistance?